Search Results: being a rebound

Long story short, after a few months of talking to this girl. We both seemed ready for a relationship and the. She admitted she wasn't over her ex and wasn't ready to get intimate again.
She seemed legit, and she said she liked me and I wasn't a rebound and asked me for some advice and we had a lot of conversations.
I followed up a few times, but she started to barely say anything. I asked why she was being like hat and she said 'i have nothing to say' so I stopped responding completely.
I'm told she will reach out to me, but does me not saying anything or reaching out at all affect her at all?

Some back story. I matched her on tinder. We talked through Snapchat. Before we could meet up I went out of town for work for a few months. In that time she met someone and they dated. Told her I didn't want to talk to her if she wasn't single.

Recently she posted on her story that she's single. Not out right subtle but well enough so people would ask her about it.

I'm still out of town for another month or so. Do I make a response now to her story and put myself on her mind (could come off as desperate or something and she might not be ready to think about dating again.) or should I wait until I'm closer to being home (she might find someone else or won't remember me. Might be playing it too casual.)?

I know y'all will probably tell me to hit her up but honestly. If you just broke up with someone would you be wanting to find a relationship again quickly? Would really give someone a chance or would youuse them as emotional support/validation, a rebound?

Or should I read this from the obvious and say she wasn't into me that much if she dated someone else. The only reason I hesitate to go with this option firstly is because there is a distance. We have never met. When considering dating someone I don't really consider them until after we met. I wasn't a real option or on the table since we never met, at least that's my thought on it.